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Acta Physica Sinica (Overseas Edition), 1998, Vol. 7(10): 721-726    DOI: 10.1088/1004-423X/7/10/001
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ENVELOPE SOLITON UNDER DISSIPATION IN A FLUID-FILLED ELASTIC TUBE

Duan Wen-shan (段文山)a, Zhao Cun-yuan (赵存元)a, Lü Ke-pu (吕克朴)a, Wang Ben-ren (王本仁)b, Wei Rong-jue (魏荣爵)b
a Department of Physics, Northwest Normal University, Lanzhou 730070, China; b Institute of Acoustics and State Key Laboratory of Modern Acoustics, Nanjing University, Nanjing 210093, China
Abstract  By using the reductive perturbation method, the carrier wave modulation propagating in a weakly viscous fluid-filled elastic tube is investigated. It is shown that such a process can be described by equation A$\tau$+iBA$\xi\xi$+iC|A|2A+DA=0 and the amplitude of envelope soliton will decrease as it propagates away.
Received:  17 November 1997      Revised:  08 June 1998      Accepted manuscript online: 
PACS:  47.35.Fg (Solitary waves)  
  47.60.-i (Flow phenomena in quasi-one-dimensional systems)  
  47.11.-j (Computational methods in fluid dynamics)  
Fund: Project supported by the Natural Science Foundation and Education Commission of Gansu Province, China.

Cite this article: 

Duan Wen-shan (段文山), Zhao Cun-yuan (赵存元), Lü Ke-pu (吕克朴), Wang Ben-ren (王本仁), Wei Rong-jue (魏荣爵) ENVELOPE SOLITON UNDER DISSIPATION IN A FLUID-FILLED ELASTIC TUBE 1998 Acta Physica Sinica (Overseas Edition) 7 721

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